All Implemented Interfaces:

JxnCloneableAlgebra
```
public class JxnComplexArrayAlgebra
extends Object
implements JxnCloneableAlgebra
```
Implementation of a complex array algebra. Stores real and imaginary part in double precision arrays. Most of the methods perform element-wise operations on pairs of the array elements. Supports mixed operations with double, JxnComplexAlgebra and JxnRealArrayAlgebra.

Field Summary

Fields
Modifier and Type Field Description

double[] im
Internal storage.

double[] re
Internal storage.

Constructor Summary

Constructors
Modifier	Constructor	Description
`protected`	`JxnComplexArrayAlgebra()`
	`JxnComplexArrayAlgebra(double re)`	Creates a complex array instance for a single real value `re` (the imaginary part is 0).
	`JxnComplexArrayAlgebra(double[] re)`	Creates a complex array instance from a double array `re` (the imaginary part is 0.).
	`JxnComplexArrayAlgebra(double[] re, boolean copyInput)`	Creates a complex array instance from a double array `re`.
	`JxnComplexArrayAlgebra(double[] re, double[] im)`	Creates a complex array instance from two double arrays `re` and `im`.
	`JxnComplexArrayAlgebra(double[] re, double[] im, boolean copyInput)`	Creates a complex array instance from two double arrays `re` and `im`.
	`JxnComplexArrayAlgebra(int[] re)`	Creates a complex array instance an int array for `re`.
	`JxnComplexArrayAlgebra(JxnComplexAlgebra cx)`	Creates a complex array instance for a single complex value `cx = re + j im`.
	`JxnComplexArrayAlgebra(JxnComplexAlgebra[] cxa)`	Creates a complex array instance from an array of `JxnComplexAlgebra`.
	`JxnComplexArrayAlgebra(JxnComplexAlgebra cx, JxnRealArrayAlgebra ra)`	Creates a complex array instance for `cx * ra`.
	`JxnComplexArrayAlgebra(JxnComplexArrayAlgebra z)`	Creates a copy of `z`.
	`JxnComplexArrayAlgebra(JxnRealArrayAlgebra re)`	Creates a complex array instance for `re`.
	`JxnComplexArrayAlgebra(JxnRealArrayAlgebra ra, JxnComplexAlgebra cx)`	Creates a complex array instance for `ra * cx`.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`static JxnRealArrayAlgebra`	`abs(JxnComplexArrayAlgebra z)`	Return the magnitude of each element of the internal array of `z`.
`JxnComplexArrayAlgebra`	`add(double d)`	Adds `d` to this.
`static JxnComplexArrayAlgebra`	`add(double d, JxnComplexArrayAlgebra caa)`	Returns `d + caa`.
`JxnComplexArrayAlgebra`	`add(JxnComplexAlgebra cx)`	Adds `cx` to this.
`JxnComplexArrayAlgebra`	`add(JxnComplexArrayAlgebra z)`	Adds `z` to this.
`JxnCloneableAlgebra`	`cloneThis()`	Called internally.
`static JxnComplexArrayAlgebra`	`conj(JxnComplexArrayAlgebra z)`	Return the conjugate complex for each element of the internal array of `z`.
`static JxnComplexArrayAlgebra`	`cos(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.cos(JxnComplexAlgebra)` for each element of the internal array of `z`.
`static JxnComplexArrayAlgebra`	`cosh(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.cosh(JxnComplexAlgebra)` for each element of the internal array of `z`.
`JxnComplexArrayAlgebra`	`div(double d)`	Divides this by `d`.
`static JxnComplexArrayAlgebra`	`div(double d, JxnComplexArrayAlgebra caa)`	Returns `d / caa`.
`JxnComplexArrayAlgebra`	`div(JxnComplexAlgebra cx)`	Divides this by `cx`.
`JxnComplexArrayAlgebra`	`div(JxnComplexArrayAlgebra z)`	Divides this by `z`.
`boolean`	`equals(Object other)`	`JxnComplexArrayAlgebra` objects are equal, if all corresponding array elements are `equal`.
`static JxnComplexArrayAlgebra`	`exp(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.exp(JxnComplexAlgebra)` for each element of the internal array of `z`.
`JxnComplexAlgebra`	`get(double t)`	Returns a `JxnComplexAlgebra` for position `t` by linear interpolation of both real and imaginary part between the adjacent elements of the internal arrays of this `JxnComplexArrayAlgebra`.
`JxnComplexAlgebra`	`get(int i)`	Return the i^the element of this.
`JxnComplexAlgebra[]`	`getComplexArray()`	Returns `toArray()`.
`JxnComplexAlgebra`	`getValue(double t)`	Same as `get(t)`.
`JxnComplexAlgebra`	`getValue(int i)`	Same as `get(i)`.
`JxnComplexAlgebra`	`getValue(JxnComplexArrayAlgebra caa, double t)`	Returns `ra.getValue(t)`.
`static JxnComplexAlgebra`	`getValue(JxnComplexArrayAlgebra caa, int i)`	Return the i^th element of `caa`.
`static JxnRealArrayAlgebra`	`imag(JxnComplexArrayAlgebra z)`	Returns the imaginary parts of `z`.
`JxnComplexArrayAlgebra`	`inv()`	Replaces this by its reciprocal.
`static int`	`length(JxnComplexArrayAlgebra z)`	Returns the length of the internal arrays of `z`.
`static JxnComplexArrayAlgebra`	`log(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.log(JxnComplexAlgebra)` for each element of the internal array of `z`.
`JxnComplexArrayAlgebra`	`mul(double d)`	(Post)Multiplies this by `d`.
`static JxnComplexArrayAlgebra`	`mul(double d, JxnComplexArrayAlgebra caa)`	Returns `d * caa`.
`JxnComplexArrayAlgebra`	`mul(JxnComplexAlgebra cx)`	(Post)Multiplies this by `cx`.
`JxnComplexArrayAlgebra`	`mul(JxnComplexArrayAlgebra z)`	(Post)Multiplies this by `z`.
`JxnComplexArrayAlgebra`	`mulL(double d)`	(Pre)Multiplies this by `d`.
`static JxnRealArrayAlgebra`	`phi(JxnComplexArrayAlgebra z)`	Returns the argument (phase angle) of each element of the internal array of `z`.
`static JxnRealArrayAlgebra`	`phiD(JxnComplexArrayAlgebra z)`	Returns the argument (phase angle) in degrees of each element of the internal array of `z`.
`JxnComplexArrayAlgebra`	`pow(double exponent)`	Replaces this by its power of `d`.
`JxnComplexArrayAlgebra`	`pow(JxnRealArrayAlgebra ra)`	Replaces this by its power of `ra`.
`static JxnRealArrayAlgebra`	`real(JxnComplexArrayAlgebra z)`	Returns the real parts of `z`.
`static JxnComplexArrayAlgebra`	`sin(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.sin(JxnComplexAlgebra)` for each element of the internal array of `z`.
`static JxnComplexArrayAlgebra`	`sinh(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.sinh(JxnComplexAlgebra)` for each element of the internal array of `z`.
`int`	`size()`	Returns the length of the internal arrays.
`static JxnComplexArrayAlgebra`	`sqrt(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.sqrt(JxnComplexAlgebra)` for each element of the internal array of `z`.
`JxnComplexArrayAlgebra`	`sub(double d)`	Subtracts `d` from this.
`static JxnComplexArrayAlgebra`	`sub(double d, JxnComplexArrayAlgebra caa)`	Returns `d - caa`.
`JxnComplexArrayAlgebra`	`sub(JxnComplexAlgebra cx)`	Subtracts `cx` from this.
`JxnComplexArrayAlgebra`	`sub(JxnComplexArrayAlgebra z)`	Subtracts `z` from this.
`static JxnComplexArrayAlgebra`	`tan(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.tan(JxnComplexAlgebra)` for each element of the internal array of `z`.
`static JxnComplexArrayAlgebra`	`tanh(JxnComplexArrayAlgebra z)`	Calls `JxnComplexAlgebra.tanh(JxnComplexAlgebra)` for each element of the internal array of `z`.
`JxnComplexAlgebra[]`	`toArray()`	Return this as an arry of `JxnComplexAlgebra`.
`String`	`toString()`

Methods inherited from class java.lang.Object
clone, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Field Detail
  - re
```
public double[] re
```
    Internal storage.
  - im
```
public double[] im
```
    Internal storage.
- Constructor Detail
  - JxnComplexArrayAlgebra
```
protected JxnComplexArrayAlgebra()
```
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(double re)
```
    Creates a complex array instance for a single real value re (the imaginary part is 0).
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(JxnComplexAlgebra cx)
```
    Creates a complex array instance for a single complex value cx = re + j im.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(JxnRealArrayAlgebra re)
```
    Creates a complex array instance for re. The imaginary part is 0.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(double[] re,
                              double[] im)
```
    Creates a complex array instance from two double arrays re and im. Calls JxnComplexArrayAlgebra( re, im, false ).
    
    Note: This constructor exists for performance and memory reasons and stores references to re and im as the internal array representations. Consequently modifications of the array elements of re and im modify the JxnRealArrayAlgebra object and vice versa. To store an independent internal copy of the external arrays use JxnRealArrayalgebra( re, im, true ).
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(double[] re,
                              double[] im,
                              boolean copyInput)
```
    Creates a complex array instance from two double arrays re and im.
    
    Parameters:
    
    copyInput - if true, stores copies of the arrays re and im, otherwise stores references to the arrays re and im.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(double[] re)
```
    Creates a complex array instance from a double array re (the imaginary part is 0.). Calls JxnComplexArrayAlgebra( re, false ).
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(double[] re,
                              boolean copyInput)
```
    Creates a complex array instance from a double array re. The imaginary part is 0.
    
    Parameters:
    
    copyInput - if true, stores a copy of the array re, otherwise stores a reference to the array re.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(int[] re)
```
    Creates a complex array instance an int array for re. The imaginary part is 0.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(JxnComplexAlgebra[] cxa)
```
    Creates a complex array instance from an array of JxnComplexAlgebra.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(JxnComplexArrayAlgebra z)
```
    Creates a copy of z.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(JxnComplexAlgebra cx,
                              JxnRealArrayAlgebra ra)
```
    Creates a complex array instance for cx * ra.
  - JxnComplexArrayAlgebra
```
public JxnComplexArrayAlgebra(JxnRealArrayAlgebra ra,
                              JxnComplexAlgebra cx)
```
    Creates a complex array instance for ra * cx.
- Method Detail
  - cloneThis
```
public JxnCloneableAlgebra cloneThis()
```
    Description copied from interface: JxnCloneableAlgebra
    
    Called internally. Required to avoid overwriting the left side operand opndLeft in opndLeft op opndRght, if op is implemented as opndLeft.op(opndRght) and the instance method op modifies the instance.
    
    Specified by:
    
    cloneThis in interface JxnCloneableAlgebra
    
    Returns:
    
    copy of this instance
  - size
```
public int size()
```
    Returns the length of the internal arrays.
  - length
```
public static int length(JxnComplexArrayAlgebra z)
```
    Returns the length of the internal arrays of z.
  - equals
```
public boolean equals(Object other)
```
    JxnComplexArrayAlgebra objects are equal, if all corresponding array elements are equal.
    
    Overrides:
    
    equals in class Object
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object
  - add
```
public JxnComplexArrayAlgebra add(JxnComplexArrayAlgebra z)
```
    Adds z to this.
  - sub
```
public JxnComplexArrayAlgebra sub(JxnComplexArrayAlgebra z)
```
    Subtracts z from this.
  - mul
```
public JxnComplexArrayAlgebra mul(JxnComplexArrayAlgebra z)
```
    (Post)Multiplies this by z.
  - div
```
public JxnComplexArrayAlgebra div(JxnComplexArrayAlgebra z)
```
    Divides this by z.
  - inv
```
public JxnComplexArrayAlgebra inv()
```
    Replaces this by its reciprocal.
  - add
```
public JxnComplexArrayAlgebra add(double d)
```
    Adds d to this.
  - sub
```
public JxnComplexArrayAlgebra sub(double d)
```
    Subtracts d from this.
  - mul
```
public JxnComplexArrayAlgebra mul(double d)
```
    (Post)Multiplies this by d.
  - mulL
```
public JxnComplexArrayAlgebra mulL(double d)
```
    (Pre)Multiplies this by d.
  - div
```
public JxnComplexArrayAlgebra div(double d)
```
    Divides this by d.
  - pow
```
public JxnComplexArrayAlgebra pow(double exponent)
```
    Replaces this by its power of d.
  - add
```
public static JxnComplexArrayAlgebra add(double d,
                                         JxnComplexArrayAlgebra caa)
```
    Returns d + caa.
  - sub
```
public static JxnComplexArrayAlgebra sub(double d,
                                         JxnComplexArrayAlgebra caa)
```
    Returns d - caa.
  - mul
```
public static JxnComplexArrayAlgebra mul(double d,
                                         JxnComplexArrayAlgebra caa)
```
    Returns d * caa.
  - div
```
public static JxnComplexArrayAlgebra div(double d,
                                         JxnComplexArrayAlgebra caa)
```
    Returns d / caa.
  - add
```
public JxnComplexArrayAlgebra add(JxnComplexAlgebra cx)
```
    Adds cx to this.
  - sub
```
public JxnComplexArrayAlgebra sub(JxnComplexAlgebra cx)
```
    Subtracts cx from this.
  - mul
```
public JxnComplexArrayAlgebra mul(JxnComplexAlgebra cx)
```
    (Post)Multiplies this by cx.
  - div
```
public JxnComplexArrayAlgebra div(JxnComplexAlgebra cx)
```
    Divides this by cx.
  - pow
```
public JxnComplexArrayAlgebra pow(JxnRealArrayAlgebra ra)
```
    Replaces this by its power of ra.
  - abs
```
public static JxnRealArrayAlgebra abs(JxnComplexArrayAlgebra z)
```
    Return the magnitude of each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnRealArrayAlgebra instance.
    
    See Also:
    
    JxnComplexAlgebra.abs(JxnComplexAlgebra)
  - phi
```
public static JxnRealArrayAlgebra phi(JxnComplexArrayAlgebra z)
```
    Returns the argument (phase angle) of each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnRealArrayAlgebra instance.
    
    See Also:
    
    JxnComplexAlgebra.phi(JxnComplexAlgebra)
  - phiD
```
public static JxnRealArrayAlgebra phiD(JxnComplexArrayAlgebra z)
```
    Returns the argument (phase angle) in degrees of each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnRealArrayAlgebra instance.
    
    See Also:
    
    JxnComplexAlgebra.phiD(JxnComplexAlgebra)
  - real
```
public static JxnRealArrayAlgebra real(JxnComplexArrayAlgebra z)
```
    Returns the real parts of z.
    
    Returns:
    
    JxnRealArrayAlgebra instance which shares a reference to re
    (for an independent copy use JxnRealArrayAlgebra( z.re, true)
  - imag
```
public static JxnRealArrayAlgebra imag(JxnComplexArrayAlgebra z)
```
    Returns the imaginary parts of z.
    
    Returns:
    
    JxnRealArrayAlgebra instance which shares a reference to im
    (for an independent copy use JxnRealArrayAlgebra( z.im, true)
  - conj
```
public static JxnComplexArrayAlgebra conj(JxnComplexArrayAlgebra z)
```
    Return the conjugate complex for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - sqrt
```
public static JxnComplexArrayAlgebra sqrt(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.sqrt(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - exp
```
public static JxnComplexArrayAlgebra exp(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.exp(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - log
```
public static JxnComplexArrayAlgebra log(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.log(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - sin
```
public static JxnComplexArrayAlgebra sin(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.sin(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - cos
```
public static JxnComplexArrayAlgebra cos(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.cos(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - tan
```
public static JxnComplexArrayAlgebra tan(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.tan(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - sinh
```
public static JxnComplexArrayAlgebra sinh(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.sinh(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - cosh
```
public static JxnComplexArrayAlgebra cosh(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.cosh(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - tanh
```
public static JxnComplexArrayAlgebra tanh(JxnComplexArrayAlgebra z)
```
    Calls JxnComplexAlgebra.tanh(JxnComplexAlgebra) for each element of the internal array of z.
    
    Returns:
    
    the result in a new JxnComplexArrayAlgebra instance.
  - get
```
public JxnComplexAlgebra get(int i)
```
    Return the i^the element of this.
  - get
```
public JxnComplexAlgebra get(double t)
```
    Returns a JxnComplexAlgebra for position t by linear interpolation of both real and imaginary part between the adjacent elements of the internal arrays of this JxnComplexArrayAlgebra.
    
    For i <= t <= i+1 returns re_t + j im_t
    with
    re_t = re[i] + ( t - i ) * ( re[i+1] - re[i] )
    and
    im_t = im[i] + ( t - i ) * ( im[i+1] - im[i] )
  - getValue
```
public JxnComplexAlgebra getValue(int i)
```
    Same as get(i).
  - getValue
```
public static JxnComplexAlgebra getValue(JxnComplexArrayAlgebra caa,
                                         int i)
```
    Return the i^th element of caa.
  - getValue
```
public JxnComplexAlgebra getValue(double t)
```
    Same as get(t).
  - getValue
```
public JxnComplexAlgebra getValue(JxnComplexArrayAlgebra caa,
                                  double t)
```
    Returns ra.getValue(t).
  - getComplexArray
```
public JxnComplexAlgebra[] getComplexArray()
```
    Returns toArray().
  - toArray
```
public JxnComplexAlgebra[] toArray()
```
    Return this as an arry of JxnComplexAlgebra.

Modifier and Type	Field	Description
`double[]`	`im`	Internal storage.
`double[]`	`re`	Internal storage.

Class JxnComplexArrayAlgebra

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

re

im

Constructor Detail

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

JxnComplexArrayAlgebra

Method Detail

cloneThis

size

length

equals

toString

add

sub

mul

div

inv

add

sub

mul

mulL

div

pow

add

sub

mul

div

add

sub

mul

div

pow

abs

phi

phiD

real

imag

conj

sqrt

exp

log

sin

cos

tan

sinh

cosh

tanh

get

get

getValue

getValue

getValue

getValue

getComplexArray

toArray